Simultaneous Equation Solver - Using Complex Numbers

[bigbro_1985]

Hi,

I'm using the TI-89 Titanium, I'm trying to solve complex number simultaneous equations. I haven't been able to find tutorials regarding this, so I don't know if I'm doing something wrong or if it's not capable of performing complex notation with simultaneous equations.

I do have it on complex mode (Rectangular), and it works with real numbers I tested it.

For example:
(4+j2)X + (-4)Y = -20
(-4)X + (6+j4) = -46.03 - j14.96

Entry:
a(1,1)=4+2i
a(1,2)=-4
b1[1]=-20
a(2,1)=-4
a(2,2)=6+i4
b1[2]=-46.03-i14.96

The Answer should be:
X=0.7135 + j2.281
Y=-5.431 + j2.642

What I'm getting:
X= -4.994 + j10.86
Y= -5.425 + j8.364

I've tried it in polar/rectangular and a combination of the two always get the same result.

Any help would be greatly appreciated

Marco

[mellamokb]

Hi Marco,

Solving complex number equations should be no problem for the TI-89. I tried the problem myself using the built-in csolve (complex solve) function:

[mellamokb]

Hi Marco,

Just to add an update. I experimented with plugging in the answers you expected into the original equations. I get a different answer than the equations, meaning the answer you are expecting cannot be correct.

For example, if x=0.7135+j2.281 and y=-5.431+j2.642, then the first equation gives +20 instead of -20. So I'm guessing you have a typographical error in the equation, and need to compare it back to where the problem came from. If you solve with +20, you get the answers you expected on the TI-89 using either solving method.

Hope this helps!

Regards,
~ mellamokb